en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

-|3+3x|-7<=-16

Solution

- ∣ 3 + 3 x ∣ - 7 \leq - 16

Solution

x \leq - 4 or x \geq 2

+1

Interval Notation

(- \infty, - 4] \cup [2, \infty)

Solution steps

- ∣ 3 + 3 x ∣ - 7 \leq - 16

Move

7

to the right side

- ∣ 3 + 3 x ∣ \leq - 9

Multiply both sides by

- 1

∣ 3 + 3 x ∣ \geq 9

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

3 + 3 x \leq - 9 or 3 + 3 x \geq 9

3 + 3 x \leq - 9 or 3 + 3 x \geq 9

x \leq - 4 or x \geq 2

Popular Examples

factor 4x^3-x^2-64x+16 factor

4 x^{3} - x^{2} - 64 x + 16

14 b^{2} - 2 = - 3 b

factor 4x^3-32y^3 factor

4 x^{3} - 32 y^{3}

factor r^3-7r-6 factor

r^{3} - 7 r - 6

(1/5+1/5)-(4/3+3/4)

(1/5 + 1/5) - (4/3 + 3/4)

Frequently Asked Questions (FAQ)

What is -|3+3x|-7<=-16 ?
The solution to -|3+3x|-7<=-16 is x<=-4\lor x>= 2